Solve for x.
45+ Go +1) =
2x

Answer: The better buy would be 8 bagels for $4.15

explanation: If you were to buy 6 bagels for $3.29, It would be about $.54 per bagel. but if you were to buy 8 bagels for $4.15, it is about about $.52 per bagel which makes it a better deal.

Answer:

The product of the terms in the given expression is -90k⁷

Step-by-step explanation:

10k⁴ · (-9k³)

When we multiply exponents, then we are going to add the exponential together. So, we will add 4 and 3 together which is 7. Since our base numbers are different, then we also multiply them together. So, we will multiply 10 by -9 which is -90.

-90k⁷

Answer:

We have 2 values to work with, both in terms of x. the first value is just x, our first number. The second value is 40% higher than the original.

x + (x + .4x) = 180

x + 1.4x = 180

2.4x = 180

x = 180/2.4

x = 75 1.4(75) = 105

Check:

75 * .4 = 30

75 + 30 = 105

Answer:

75, 105

Step-by-step explanation:

Let's let the two numbers be a and b.

The sum of them is 180. Thus:

[tex]a+b=180[/tex]

One of the number is 40% more than the other. In other words, let's let a be the bigger number:

[tex]a=1.4b[/tex]

Substitute this into the first equation:

[tex]1.4b+b=180[/tex]

Combine like terms:

[tex]2.4b=180[/tex]

Divide everything by 2.4:

[tex]b=75[/tex]

So, b is 75.

And their sum is 180. Thus, a is 180-75 or 105.

And we're done!

Answer:

13, 16, 23

Step-by-step explanation:

The first side is x.

The second side is x + 3

The third side is 2x - 3

(x) + (x +3) + (2x - 3) = 4x

4x = 52

x = 13

Answer:

My answer is 28,250Rs.

Area of a triangle=1/2b×h.

1/2×7×5=17.5.

Area of a rectangle=l×b.

20×15=300.

Area of rectangle-Area of the triangle=300-17.5=282.5m^2.

If 1m^2=100Rs.

then 282.5m^2=282.5×100=28,250Rs.

Answer:

108 seconds and 0.03 hours

Answer:

Step-by-step explanation:

Answer:

w = -4

Step-by-step explanation:

Answer:

w = -4

Step-by-step explanation:

[tex]-6=-2+w\\[/tex]

Switch sides

[tex]-2+w=-6[/tex]

Add 2 to both sides

[tex]-2+w+2=-6+2[/tex]

Simplify

[tex]w=-4[/tex]

Answer:

x = -7/2

Step-by-step explanation:

(1/4) ^ (x+1) = 32

Rewriting 32 as 2^5 and 1/4 and 2^-2

2^-2 ^ (x+1) = 2^5

  We know that a^b^c = a^ ( b*c)

2 ^ (-2x-2) = 2 ^ 5

Since the bases are the same, the exponents have to be the same

-2x-2 = 5

Add 2 to each side

-2x = 7

Divide by -2

x = -7/2

Answer:

8.4 in by 8.4 in

Step-by-step explanation:

The area of a square is the side length squared.

Let s be the side length:

s^2 = 70

s = \sqrt(70) = 8.4 in

Answer:

Length is 10

Width is 8

Step-by-step explanation:

The formula for the perimeter of a rectangle is:

[tex]P=2l+2w[/tex]

We are told that the length l is 2 more than twice the width w. In other words:

[tex]l=2+2w[/tex]

Also, we are given that the perimeter is 28. Therefore:

[tex]P=2l+2w\\28=2(2+2w)+2w[/tex]

Distribute:

[tex]28=4+4w+2w[/tex]

Combine like terms:

[tex]28=4+6w[/tex]

Subtract 4 from both sides:

[tex]6w=24[/tex]

Divide by 6:

[tex]w=4[/tex]

So, the width is 4.

And the length is 2 more than twice the width. Thus:

[tex]l=2+2(4)\\l=2+8=10[/tex]

The length is 10.

And we are done :)

Answer:

a. It is a negative pattern

b. Fourth term is 67

c. Explicit formula is Tn = 87 - 5n where n is the number of the term.

d. The value of the 100th term is -413

Step-by-step explanation:

1.Firstly, we want to know if the pattern is positive or negative.

Looking at the pattern, we can see our first term as 82, second as 77, third as 72.

What this show is that the pattern is decreasing as we move on from one term to another. So we can say it is a negative recursive pattern.

2. We are asked which term is the 4th.

This is quite obvious from the spelt out pattern.

82 77 72 67

1....2......3.....4

67 is the fourth term.

3. We want an explicit formula for the sequence.

What this question is asking us is a formula such that we can use at any point in time to calculate the value of the term at that point.

Firstly we have the first term as 82.

We need the common difference.

Mathematically this is the second term minus the first term which is same as the third term minus the second term.

That would be; 77-82 = 72-77 = -5

Mathematically the nth term of an arithmetic sequence is;

Tn = a + (n-1) d

Where in this case a is 82 and d is -5

Substituting these values, we have;

Tn = 82 + (n-1)-5

Tn = 82 -5n + 5

Tn = 82 + 5 -5n

Tn = 87 -5n

Where Tn is the term we are looking for while n is the number of the term.

4. Value of the 100th term

Simply substitute the value of 100 for n in the explicit formula.

That would be;

87 -5(100) = 87-500 = -413

The correct answer is 6 ft

Explanation:

It is known the customer bought 3 identical rugs, which means the size and radio of each rug was the same. Moreover, the total this customer paid for the rugs was $1350, which is equivalent to $450 for each rug as $1350 ÷ 3 = $450.  

Besides this, the black line in the graph shows at $450 (between 400 and 500 in the y-axis) the rugs have a ratio of 6 feet, which is shown in the x-axis as these two values intersect or align to form the black line. This means a carpet with a radius of 6ft costs $450, and therefore each of the rugs the customer bought had a radius of 6ft.

Answer:

its a bit cut off can u add the whole screen pls

Step-by-step explanation:

Answer:

KL NM

Step-by-step explanation:

that is the answer

Answer:

I think it's sum and difference

Answer:

less than and difference

Step-by-step explanation:

Answer:

12.1

Step-by-step explanation:

To approximate this value, we simply need to know some perfect squares.  We know that the value 144 is the perfect square of 12.  And we know the value 169 is the perfect square of 13.

Note, that our value, 146 is far closer to 144 than to 169, so we know that we will be close to 12 as our approximation.

The distance from 144 to 146 is 2, while the distance from 169 to 146 is 23.

A rough fractional approximation can be found with 2/23 approximately 0.08.

For the solution then, our approximation of sqrt(146) ~= 12.08 ~= 12.1

Cheers.

Answer:

If MN = XY, and XY = AB, then MN = AB.  Transitive Property

If AB = CD, then CD = AB.  Symmetric Property

Segment CD is congruent to segment CD. Reflexive Property

Step-by-step explanation:

Transitive property states that for all reall numbers a, b, and c, if a = b, b = c, then a = c.

Symmetric Property states that for all real numbers a and b, if a = b, then b = a.

Reflexive Property states that for every real number a, a=a

1. Transitive property

2. Symmetric property

3. Reflexive property

The equivalence properties are Reflexive property, Symmetric property & Transitive property.

Reflexive Property : For every real number a, a=a

Symmetric Property : For real numbers a & b, if a=b then b=a

Transitive Property : For real numbers a, b, c, if a=b & b=c then a=c

1. If MN = XY, and XY = AB, then MN = AB ⇒ Transitive property

2. If AB = CD, then CD = AB ⇒ Symmetric property

3. Segment CD is congruent to segment CD ⇒ Reflexive property

Learn more about equivalence properties here :

https://brainly.com/question/2273381

#SPJ2

Answer:

   3                                            

1 -----                          

    25

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

8(7x-2)=96

7x-2 = 96 : 8

7x-2 = 12

7x = 12 +2

7x = 14

x = 14 : 7

x = 2

Answer:

Step-by-step explanation:

[tex]8\left(7x-2\right)=96\\\\\mathrm{Divide\:both\:sides\:by\:}8\\\frac{8\left(7x-2\right)}{8}=\frac{96}{8}\\\\Simplify\\7x-2=12\\\\Add\:2\:to\:both\:sides\\7x-2+2=12+2\\\\Simplify\\7x=14\\\\\mathrm{Divide\:both\:sides\:by\:}7\\\frac{7x}{7}=\frac{14}{7}\\\\Simplify\\x=2[/tex]

Answer:

Hey there!

Angela will have 7+2, or 9 cups of rice.

Let me know if this helps :)

Answer:

7/2

Step-by-step explanation:

1. C) Rational Numbers and Integers only

2. D) The diagram shows that natural numbers are a subset of whole numbers, because all whole numbers and natural numbers have no numbers in c.

In mathematics, a rational number is a number such as −3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1

Answer:

x = 3.91039

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

4.32x + 1 = 17.8929

Step 2: Subtract 1 on both sides

4.32x = 16.8929

Step 3: Divide both sides by 4.32

x = 3.91039

Answer:

67-100

Step-by-step explanation:

This is the answer because the . is ones the 6 is tens and the 7 is the hundreds

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 4.7}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{12 + x = 16.7}[/tex]

Move 12 to right hand side and change it's sign

[tex] \dashrightarrow{ \sf{x = 16.7 - 12}}[/tex]

Subtract 12 from 16.7

[tex] \dashrightarrow{ \sf{4.7}}[/tex]

Hope I helped!

Best regards!

Answer:

[tex]\huge\boxed{\sf x = 4.7}[/tex]

Step-by-step explanation:

12 + x = 16.7

Subtracting 12 to both sides

x = 16.7 - 12

x = 4.7

Answer: The final number is 5

Step-by-step explanation:

Picked number: 10

STEP are all according to what you stated

10+5=15 (first sentence)

15+10=25 (second sentence)

25+5=30 (third sentence)

30÷2-10=5 (fourth sentence)

The final number is 5.

Answer:

2 and 12;

4 and 10;

5 and 9

6 and 8

Step-by-step explanation:

Given

Roll of two number cubes

Required

Determine the sums which have equal chance

Represent the sample space of both number cubes with S1 and S2

[tex]S_1 = \{1,2,3,4,5,6\}[/tex]

[tex]S_2 = \{1,2,3,4,5,6\}[/tex]

Next, get the outcome of roll two number cubes

Outcome = [tex](1,1)(1,2)(1,3)(1,4)(1,5)(1,6)\ (2,1)(2,2)(2,3)(2,4)(2,5)(2,6)\ (3,1)(3,2)(3,3)(3,4)(3,5)(3,6)[/tex][tex](4,1)(4,2)(4,3)(4,4)(4,5)(4,6)\ (5,1)(5,2)(5,3)(5,4)(5,5)(5,6)\ (6,1)(6,2)(6,3)(6,4)(6,5)(6,6)[/tex]

Next, get the sample space;[tex]S = \{2,3,4,5,6,7, 3,4,5,6,7,8, 4,5,6,7,8,9, 5,6,7,8,9,10, 6,7,8,9,10,11, 7,8,9,10,11,12\}[/tex]

Reorder from lowest to highest[tex]S = \{2,3,3,4,4,4,5,5,5,5,6,6,6,6,6,7,7,7,7,7,7,8,8,8,8,8,9,9,9,9,10,10,10,11,11,12 \}[/tex]

Next, form a frequency table

Sum -- Frequency

2 ----  -- 1

3 ----  -- 2

4 ----  -- 3

5 ----  -- 4

6 ----  -- 5

7 ----  -- 6

8 -----  -- 5

9 - ------ 4

10 ---  -- 3

11 --- ---- 2

12 ------ 1

From the above table, we can now determine the two sums that have equal probability;

The two sums that have equal probability have the same frequency;

Hence;

2 and  12 have the same chance of occurring

4 and  10 have the same chance of occurring

5 and  9 have the same chance of occurring

6 and  8 have the same chance of occurring

Answer:

5 and 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

The distance between two points can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-6,-10) & (-2,-10)

The distance between them is

We have the final answer as

Hope this helps you

Step-by-step explanation:

4√2 + √2 = 5√2 we add 4 and the invisible 1 in front of √2, the common root stays same

8√3 - 4√3 = 4√3 subtract 4 from 8 the common root stays same

2√3 x √32 ➡ 2√3 x 4√3 too add the expressions we first need to make the roots common then add 4 and 2

Answer:

1. [tex]5\sqrt{2}[/tex]

2. [tex]4\sqrt{3}[/tex]

3. [tex]8\sqrt{6}[/tex]

Step-by-step explanation:

Number 1:

We can treat [tex]\sqrt{2}[/tex]  as a variable in which we are multiplying 4 by. Let's call [tex]\sqrt{2}[/tex] x.

This makes our expression [tex]4x + x[/tex]. Combining like terms, we get [tex]5x[/tex]. This means that [tex]4\sqrt{2} + \sqrt{2} = 5\sqrt{2}[/tex].

Number 2:

Again, we can use the same logic as we did in number 1. Let's treat [tex]\sqrt{3}[/tex] as a variable y.

[tex]8y-4y[/tex]

Subtracting a y term from a y term will equal the difference between the coefficients times y. So it's [tex]4y[/tex]. This means that  [tex]8\sqrt{3}-4\sqrt{3}=4\sqrt{3}[/tex]

Number 3:

When we multiply radicals, we want to put the radicals in [tex]\sqrt{x}[/tex] form.

[tex]\sqrt{32}[/tex] is already in this form.

However [tex]2\sqrt{3}[/tex] is not.

[tex]2\sqrt{3}[/tex] is the same thing as [tex]\sqrt{3\cdot2^2} = \sqrt{3\cdot4} = \sqrt{12}[/tex].

Now we multiply these radicals by multiply the term inside the square root sign

[tex]\sqrt{32}\cdot\sqrt{12}=\sqrt{32\cdot12} =\sqrt{384}[/tex]

384 is divisible by 64, so:

[tex]\sqrt{384} = \sqrt{64\cdot6} = 8\sqrt{6}[/tex]

Hope this helped!

Answer:

Fractions , Rational numbers ,Real numbers

Step-by-step explanation:

-3/5 is arguably a real number